Search a number
-
+
141552629604 = 2232107191421457
BaseRepresentation
bin1000001111010100110…
…0011011011101100100
3111112101001020122011100
42003311030123131210
54304344433121404
6145010044040100
713140543333141
oct2036514333544
9445331218140
10141552629604
1155039850801
1223525833030
131046b450539
146bcb9113c8
153a371b4d39
hex20f531b764

141552629604 has 144 divisors (see below), whose sum is σ = 364707173376. Its totient is φ = 46286553600.

The previous prime is 141552629597. The next prime is 141552629623. The reversal of 141552629604 is 406926255141.

141552629604 is a `hidden beast` number, since 1 + 4 + 1 + 552 + 6 + 2 + 96 + 0 + 4 = 666.

141552629604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141552629604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309742944 + ... + 309743400.

It is an arithmetic number, because the mean of its divisors is an integer number (2532688704).

Almost surely, 2141552629604 is an apocalyptic number.

It is an amenable number.

141552629604 is an abundant number, since it is smaller than the sum of its proper divisors (223154543772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141552629604 is a wasteful number, since it uses less digits than its factorization.

141552629604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 141552629604 in words is "one hundred forty-one billion, five hundred fifty-two million, six hundred twenty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 107 191 214 321 382 421 428 457 573 642 764 842 914 963 1146 1263 1284 1371 1684 1719 1828 1926 2292 2526 2742 3438 3789 3852 4113 5052 5484 6876 7578 8226 15156 16452 20437 40874 45047 48899 61311 80411 81748 87287 90094 97798 122622 135141 146697 160822 174574 180188 183933 192397 195596 241233 245244 261861 270282 293394 321644 349148 367866 384794 405423 440091 482466 523722 540564 577191 586788 723699 735732 769588 785583 810846 880182 964932 1047444 1154382 1447398 1571166 1621692 1731573 1760364 2308764 2894796 3142332 3463146 6926292 8603977 9339709 17207954 18679418 20586479 25811931 28019127 34415908 36747827 37358836 41172958 51623862 56038254 61759437 73495654 77435793 82345916 84057381 103247724 110243481 112076508 123518874 146991308 154871586 168114762 185278311 220486962 247037748 309743172 330730443 336229524 370556622 440973924 661460886 741113244 1322921772 3932017489 7864034978 11796052467 15728069956 23592104934 35388157401 47184209868 70776314802 141552629604